Home
Class 12
MATHS
If tan^(-1)((x-2)/(x-4))+tan^(-1)((x+2)/...

If `tan^(-1)((x-2)/(x-4))+tan^(-1)((x+2)/(x+4))=pi/4`, find the value of `x`.

Text Solution

Verified by Experts

The correct Answer is:
`x = pm sqrt(2)`
Promotional Banner

Topper's Solved these Questions

  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise COMPLETITION FILE (Questions from JEE Main)|7 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise COMPETITION FILE|24 Videos
  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise Chapter Test|12 Videos

Similar Questions

Explore conceptually related problems

If tan^(-1)((x-3)/(x-4))+tan^(-1)((x+3)/(x+4))=(pi)/(4)

If tan^(-1)(x-1)/(x-2)+tan^(-1)(x+1)/(x+2)=(pi)/(4) ,then find the value of x .

If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4) then find the value of x

If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4), then find the value of x.

If tan^(-1)((x-1)/(x-2))+cot^(-1)((x+2)/(x+1))=(pi)/(4) , find x.

If tan^-1 ((x-1)/(x-2)) + tan^-1 ((x+1)/(x+2)) = π/4 then find the value of x.

Solve : tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=pi/4

Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

(tan^(-1)(x-1))/(x-2)+(tan^(-1)(x+1))/(x+2)=(pi)/(4). find